Comparing two doubly exponential integers

Proved

WorkbookSource.base_50890

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Prove that $2^{2^{151}}>3^{2^{150}}$ .

Source: InternLM Lean-Workbook, record lean_workbook_50890 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.base_50890 : 2 ^ (2 ^ 151) > 3 ^ (2 ^ 150)  :=  by sorry

Source